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Finding the Fourth Proportional to 10,238.60, 15,329.10 and 9,201.80

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Solution

The fourth proportional to 10,238.60, 15,329.10 and 9,201.80 is: 13,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.60 : 15,329.10 = 9,201.80 : x
  2. Step 2: Convert to fraction form
    10,238.60/15,329.10 = 9,201.80/x
  3. Step 3: Cross multiply
    10,238.60x = 15,329.10 × 9,201.80
  4. Step 4: Simplify right side
    10,238.60x = 141,055,312.38
  5. Step 5: Solve for x
    x = 141,055,312.38/10,238.60
  6. Step 6: Final answer
    x = 13,776.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.